{"title":"NONLOCAL INTEGRAL BOUNDARY VALUE PROBLEMS WITH CAUSAL OPERATORS AND FRACTIONAL DERIVATIVES","authors":"G. Wang, L. Zhang, R. Agarwal","doi":"10.26351/FDE/27/1-2/5","DOIUrl":"https://doi.org/10.26351/FDE/27/1-2/5","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"28 9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125693587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"OSCILLATION OF UNBOUNDED SOLUTIONS OF FOURTH ORDER NEUTRAL DYNAMIC EQUATIONS VIA TAYLOR’S FORMULA","authors":"A. Tripathy","doi":"10.26351/FDE/27/1-2/2","DOIUrl":"https://doi.org/10.26351/FDE/27/1-2/2","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116154983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic Functional Differential Equations with Markovian Switching","authors":"X. Mao","doi":"10.1142/9781860948848_0008","DOIUrl":"https://doi.org/10.1142/9781860948848_0008","url":null,"abstract":"The main aim of this paper is to investigate the exponential stability of stochastic functional differential equations with Markovian switching. The Razumikhin argument and the generalized Ito formula will play an important role in this paper. Applying our new results to several important types of equations e.g. stochastic differential delay equations and stochastic differential equations, both with Markovian switching, we obtain a number of very useful results. Several examples are also given for illustration.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115740486","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"About sign-constancy of Green’s function of a two-point problem for impulsive second order delay equations","authors":"A. Domoshnitsky, Guy Landsman, S. Yanetz","doi":"10.14232/EJQTDE.2016.8.9","DOIUrl":"https://doi.org/10.14232/EJQTDE.2016.8.9","url":null,"abstract":"We consider the following second order dierential equation with delay In this paper we nd sucient conditions of positivity of Green's functions for this impulsive equation coupled with one-point boundary conditions in the form of theorems about dierential inequalities. Choosing the test function in these theorems, we obtain simple sucient conditions.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116307226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classical solutions of quasilinear functional differential systems of the Haar pyramid","authors":"Elżbieta Puźniakowska","doi":"10.7153/dea-01-09","DOIUrl":"https://doi.org/10.7153/dea-01-09","url":null,"abstract":"The Cauchy problem for a quasilinear ftmctional differential system is considered. A theorem on the existence of classical solutions defined on the Haar pyramid is proved. The theory of bicharacteristics and the method of successive approximations are used. Differential systems with deviated variables and differential integral systems can be obtained from a general theory by specializing given operators.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126549470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Positive solutions of first order boundary value problems with nonlinear nonlocal boundary conditions and application to Hematopoiesis","authors":"S. Pati, P. Srinivasu, S. Padhi","doi":"10.3906/mat-1512-64","DOIUrl":"https://doi.org/10.3906/mat-1512-64","url":null,"abstract":"In this paper, existence criteria for positive solutions of the following nonlinear first order boundary value problem with nonlinear nonlocal boundary condition","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133539869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A REVIEW ON THE EVOLUTION OF THE CONFORMABLE DERIVATIVE","authors":"F. C. Etinkaya","doi":"10.26351/fde/29/1-2/2","DOIUrl":"https://doi.org/10.26351/fde/29/1-2/2","url":null,"abstract":"This review paper focuses on the evolution of the conformable derivative. The review starts with expressing the idea behind the first research on the so-called conformable fractional derivative and examining some recent related papers. Then it continues mentioning some opposing papers which argue that the so-called conformable fractional derivative is actually not a fractional derivative because it lacks some of the agreed upon properties for fractional derivatives. The paper is closed by discussing another point of view on the theory of conformable derivatives.","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116923796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"EXPONENTIAL STABILITY FOR SYSTEMS OF VECTOR NEUTRAL DIFFERENTIAL EQUATIONS","authors":"L. Berezansky, Eric P. Braverman","doi":"10.26351/fde/29/3-4/3","DOIUrl":"https://doi.org/10.26351/fde/29/3-4/3","url":null,"abstract":"","PeriodicalId":175822,"journal":{"name":"Functional differential equations","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126080074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}